A chamfered cube, also inaccurately called a truncated rhombic dodecahedron or more accurately called a tetratruncated rhombic dodecahedron, is a polyhedron obtained by chamfering a cube. The illustration above shows increasing amounts of chamfering applied to the cube.
An equilateral chamfered cub may be constructed by appropriate choice of the edge length ratio for chamfering. The unit equilateral chamfered cube has surface area and volume
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(1)
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(2)
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and is implemented in the Wolfram Language as PolyhedronData["EquilateralChamferedCube"].
